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Finding the Fourth Proportional to 20,164.58, 30,236.46 and 9,061.78

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Solution

The fourth proportional to 20,164.58, 30,236.46 and 9,061.78 is: 13,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.58 : 30,236.46 = 9,061.78 : x
  2. Step 2: Convert to fraction form
    20,164.58/30,236.46 = 9,061.78/x
  3. Step 3: Cross multiply
    20,164.58x = 30,236.46 × 9,061.78
  4. Step 4: Simplify right side
    20,164.58x = 273,996,148.50
  5. Step 5: Solve for x
    x = 273,996,148.50/20,164.58
  6. Step 6: Final answer
    x = 13,587.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.